8 Properties of the periodic Hartree - Fock minimizer
نویسنده
چکیده
We study the periodic Hartree-Fock model used for the description of electrons in a crystal. The existence of a minimizer was previously shown by Catto, Le Bris and Lions (Ann. Inst. H. Poincaré Anal. Non Linéaire 18 (2001), no. 6, 687–760). We prove in this paper that any minimizer is necessarily a projector and that it solves a certain nonlinear equation, similarly to the atomic case. In particular we show that the Fermi level is either empty or totally filled.
منابع مشابه
Properties of periodic Hartree-Fock minimizers
We study the periodic Hartree-Fock model used for the description of electrons in a crystal. The existence of a minimizer was previously shown by Catto, Le Bris and Lions (Ann. Inst. H. Poincaré Anal. Non Linéaire 18 (2001), no. 6, 687–760). We prove in this paper that any minimizer is necessarily a projector and that it solves a certain nonlinear equation, similarly to the atomic case. In part...
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